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9838835901 = 321764306117
BaseRepresentation
bin10010010100111000…
…01011100010111101
3221101200111122112200
421022130023202331
5130122220222101
64304144222113
7465546503526
oct111234134275
927350448480
109838835901
114199848044
121aa700a939
13c0a4acbbb
146949ad84d
153c8b75986
hex24a70b8bd

9838835901 has 12 divisors (see below), whose sum is σ = 15047631612. Its totient is φ = 6173387136.

The previous prime is 9838835869. The next prime is 9838835939. The reversal of 9838835901 is 1095388389.

9838835901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3398773401 + 6440062500 = 58299^2 + 80250^2 .

It is not a de Polignac number, because 9838835901 - 25 = 9838835869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838835401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32152906 + ... + 32153211.

It is an arithmetic number, because the mean of its divisors is an integer number (1253969301).

Almost surely, 29838835901 is an apocalyptic number.

It is an amenable number.

9838835901 is a deficient number, since it is larger than the sum of its proper divisors (5208795711).

9838835901 is a wasteful number, since it uses less digits than its factorization.

9838835901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64306140 (or 64306137 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9838835901 is about 99190.9063422651. The cubic root of 9838835901 is about 2142.7980330876.

The spelling of 9838835901 in words is "nine billion, eight hundred thirty-eight million, eight hundred thirty-five thousand, nine hundred one".

Divisors: 1 3 9 17 51 153 64306117 192918351 578755053 1093203989 3279611967 9838835901